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42458860 = 22517472657
BaseRepresentation
bin1010000111110…
…1111011101100
32221220010121101
42201331323230
541332140420
64114012444
71023615523
oct241757354
987803541
1042458860
1121a6aa74
1212277124
138a47ab2
1458d34ba
153ada60a
hex287deec

42458860 has 48 divisors (see below), whose sum is σ = 96453504. Its totient is φ = 15638528.

The previous prime is 42458849. The next prime is 42458873. The reversal of 42458860 is 6885424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14652 + ... + 17308.

It is an arithmetic number, because the mean of its divisors is an integer number (2009448).

Almost surely, 242458860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42458860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48226752).

42458860 is an abundant number, since it is smaller than the sum of its proper divisors (53994644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42458860 is a wasteful number, since it uses less digits than its factorization.

42458860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 42458860 is about 6516.0463472876. The cubic root of 42458860 is about 348.8639628756.

The spelling of 42458860 in words is "forty-two million, four hundred fifty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 2657 3196 3995 5314 7990 10628 13285 15980 26570 45169 53140 90338 124879 180676 225845 249758 451690 499516 624395 903380 1248790 2122943 2497580 4245886 8491772 10614715 21229430 42458860